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## Algebra Standard for Grades 6-8

 Expectations
 Instructional programs from prekindergarten through grade 12 should enable all students to— In grades 6–8 all students should— Understand patterns, relations, and functions represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules; relate and compare different forms of representation for a relationship; identify functions as linear or nonlinear and contrast their properties from tables, graphs, or equations. Represent and analyze mathematical situations and structures using algebraic symbols develop an initial conceptual understanding of different uses of variables; explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope; use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships; recognize and generate equivalent forms for simple algebraic expressions and solve linear equations Use mathematical models to represent and understand quantitative relationships model and solve contextualized problems using various representations, such as graphs, tables, and equations. Analyze change in various contexts use graphs to analyze the nature of changes in quantities in linear relationships.